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Original Articles

Advanced geometric formulations for the design of a long defects detection system

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Pages 195-207 | Received 29 Feb 2008, Accepted 19 May 2008, Published online: 24 Sep 2010

References

  • Bossavit , A. 1998 . How weak is the weak solution in finite elements methods? . IEEE Trans. Mag. , 34 ( 5 ) : 2429 – 2432 .
  • E. Tonti, Algebraic topology and computational electromagnetism (1998), pp. 284–294, 4th International Workshop on Electric and Magnetic Fields, Marseille, France 12–15 May
  • Bossavit , A. and Kettunen , L. 2000 . Yee-like schemes on staggered cellular grids: A synthesis between FIT and FEM approaches . IEEE Trans. Mag. , 36 ( 4 ) : 861 – 867 .
  • Tonti , E. 2002 . Finite formulation of the electromagnetic field . IEEE Trans. Mag. , 38 ( 2 ) : 333 – 336 .
  • Trevisan , F. 2004 . 3-D eddy current analysis with the cell method for NDE problems . IEEE Trans. , 40 ( 2 ) : 1314 – 1317 .
  • Bossavit , A. 2000 . Computational electromagnetism and geometry. (5): The “Galerkin Hodge” . J. Jpn. Soc. Appl. Electromagn. Mech. , 8 ( 2 ) : 203 – 209 .
  • Trevisan , F. and Kettunen , L. 2006 . Geometric interpretation of finite dimensional eddy current formulations . Int. J. Numer. Meth. Eng. , 67 ( 13 ) : 1888 – 1908 .
  • Albanese , R. and Rubinacci , G. 1988 . Integral formulation for 3D eddy current computation using edge elements . IEE Proc. , 135 ( 5 ) : 457 – 462 . Part A
  • Tarhasaari , T. , Kettunen , L. and Bossavit , A. 1999 . Some realizations of a discrete Hodge operator: A reinterpretation of finite element techniques . IEEE Trans. Mag. , 35 : 1494 – 1497 .
  • Specogna , R. and Trevisan , F. 2005 . Discrete constitutive equations in A–χ geometric eddy-currents formulation . IEEE Trans. Mag. , 41 ( 4 ) : 1259 – 1263 .
  • Codecasa , L. , Minerva , V. and Politi , M. 2004 . Use of barycentric dual grids for the solution of frequency domain problems by FIT . IEEE Trans. Mag. , 40 ( 2 ) : 1414 – 1419 .
  • Codecasa , L. and Trevisan , F. 2006 . Piecewise uniform bases and energetic approach for discrete constitutive matrices in electromagnetic problems . Int. J. Numer. Meth. Eng. , 65 ( 4 )
  • Codecasa , L. , Specogna , R. and Trevisan , F. 2007 . Symmetric positive-definite constitutive matrices for discrete eddy-current problems . IEEE Trans. Mag. , 42 ( 2 ) : 510 – 515 .
  • Kettunen , L. , Forsman , K. and Bossavit , A. 1998 . Formulation of the eddy current problem in multiply connected regions in terms of h . Int. J. Numer. Meth. Eng. , 41 ( 5 ) : 935 – 954 .
  • Le Menach , Y. , Clenet , S. and Piriou , F. 1998 . Determination and utilization of the source field in 3D magnetostatic problems . IEEE Trans. Mag. , 34 ( 5 ) : 2509 – 2512 .
  • Durand , E. 1968 . Magnetostatique , Paris : Masson & C .
  • Gross , Paul W. and Robert Kotiuga , P. 2004 . Electromagnetic Theory and Computation: A Topological Approach , Vol. 48 , Cambridge : Cambridge University Press . ISBN 0 521 801605
  • Saku Suuriniemi, Homological computations in electromagnetic modeling, Ph.D. thesis, Tampere University of Technology, 2004, ISBN 952-15-1237-7
  • Specogna , R. , Suuriniemi , Saku and Trevisan , F. Geometric T–Ω approach to solve eddy-currents coupled to electric circuits . Int. J. Numer. Meth. Eng. , in press, DOI: 10.1002/nme.2155
  • R. Specogna and F. Trevisan, The geometric approach to solve Maxwell's equations (G.A.M.E.) code, http://www.quickgame.org , copyright 2003–2007
  • Cardelli , E. , Faba , A. , Specogna , R. , Tamburrino , A. , Trevisan , F. and Ventre , S. 2005 . Analysis methodologies and experimental benchmarks for eddy current testing . IEEE Trans. Mag. , 41 ( 5 ) : 1380 – 1383 .
  • Cardelli , E. , Faba , A. , Specogna , R. and Trevisan , F. 2007 . Image reconstruction of defects in metallic plates using a multi-frequency detector system and a discrete geometric approach . IEEE Trans. Mag. , 42 ( 4 ) : 1857 – 1860 .
  • Igarashi , H. and Honma , T. 2002 . On convergence of ICCG applied to finite-element equation for quasi-static fields . IEEE Trans. Mag. , 38 ( 2 ) : 565 – 568 .

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